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A096292 Primes p such that p!-1 is divisible by the next prime larger than p. 1
3, 5, 11, 17, 29, 41, 59, 71, 101, 107, 137, 149, 179, 191, 197, 227, 239, 269, 281, 311, 347, 419, 431, 461, 521, 569, 599, 617, 641, 659, 809, 821, 827, 857, 881, 1019, 1031, 1049, 1061, 1091, 1151, 1229, 1277, 1289, 1301, 1319, 1427, 1451, 1481, 1487, 1607 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This sequence includes A001359 as a subset, since the lesser of twin primes always satisfy this relation. The smallest number in this sequence that is not in A001359 is 7841. The only other known differences are 594278556271608991 and 4259842839142238791410741595983041626644087433.

LINKS

Carlos Rivera, Puzzle 270.

EXAMPLE

17 is here because 17!-1 is divisible by 19 and 19 is the next prime larger than 17.

CROSSREFS

Cf. A001359.

Sequence in context: A054799 A001359 * A181747 A078864 A023218 A073022

Adjacent sequences:  A096289 A096290 A096291 * A096293 A096294 A096295

KEYWORD

nonn

AUTHOR

Stuart Gascoigne (stuart.g(AT)scoigne.com), Jun 24 2004

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Last modified February 15 06:58 EST 2012. Contains 205694 sequences.